Student Support Forum: 'integrating over general step functions' topicStudent Support Forum > General > "integrating over general step functions"

 < Previous Comment Help | Reply To Comment | Reply To Topic
 Author Comment/Response Henry Lamb 10/03/03 7:18pm UnitStep can be used to define piecewise functions regardless of the pieces or their domains. Think of it as a switch, which turns on a function piece within its domain and turns it off otherwise. The definition of UnitStep is 0, x<0, 1, x>=0. To turn the switch on at some value of x, say x1, we need a term (x-x1) in the argument of UnitStep. To turn it off at another value of x, say x2, we need a term -(x-x2) or (x2-x). If we take the product of these, both terms must be positive for the switch to be on. This is true only if x is between x1 and x2. For example, suppose you have a piecewise function defined as f1[x],x

 Subject (listing for 'integrating over general step functions') Author Date Posted integrating over general step functions Jeff Hamrick 09/24/03 11:14am Re: integrating over general step functions Henry Lamb 09/30/03 01:02am Re: integrating over general step functions Jeff Hamrick 10/02/03 4:51pm Re: integrating over general step functions Henry Lamb 10/03/03 7:18pm
 < Previous Comment Help | Reply To Comment | Reply To Topic